Genus 2 curve search results

Results (displaying both matches)

 

Label	Class	Conductor	Discriminant	Rank*	2-Selmer rank	Torsion	$\textrm{End}^0(J_{\overline\Q})$	$\textrm{End}^0(J)$	$\GL_2\textsf{-type}$	Sato-Tate	Nonmaximal primes	$\Q$-simple	\(\overline{\Q}\)-simple	\(\Aut(X)\)	\(\Aut(X_{\overline{\Q}})\)	$\Q$-points	$\Q$-Weierstrass points	mod-$\ell$ images	Locally solvable	Square Ш*	Analytic Ш*	Tamagawa	Regulator	Real period	Leading coefficient	Igusa-Clebsch invariants	Igusa invariants	G2-invariants	Equation
968.a.1936.1	968.a	\( 2^{3} \cdot 11^{2} \)	\( - 2^{4} \cdot 11^{2} \)	$1$	$1$	$\Z/5\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$8$	$0$	2.60.2, 3.90.1	✓	✓	$1$	\( 2 \)	\(0.080529\)	\(26.986750\)	\(0.173857\)	$[120,357,14937,242]$	$[120,362,-1344,-73081,1936]$	$[1555200000/121,39096000/121,-1209600/121]$	$y^2 + y = x^6 - x^4$
1936.b.1936.1	1936.b	\( 2^{4} \cdot 11^{2} \)	\( 2^{4} \cdot 11^{2} \)	$0$	$0$	$\Z/5\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$2$	$0$	2.120.2, 3.90.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(10.505396\)	\(0.420216\)	$[120,357,14937,242]$	$[120,362,-1344,-73081,1936]$	$[1555200000/121,39096000/121,-1209600/121]$	$y^2 + y = -x^6 - x^4$